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120013320 = 23357142873
BaseRepresentation
bin1110010011101…
…00001000001000
322100211022022210
413021310020020
5221210411240
615524145120
72655045030
oct711641010
9270738283
10120013320
1161820869
12342381a0
131bb2cccb
1411d208c0
15a809780
hex7274208

120013320 has 64 divisors (see below), whose sum is σ = 411477120. Its totient is φ = 27431424.

The previous prime is 120013261. The next prime is 120013337. The reversal of 120013320 is 23310021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

120013320 is a modest number, since divided by 13320 gives 120 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 120013296 and 120013305.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70597 + ... + 72276.

It is an arithmetic number, because the mean of its divisors is an integer number (6429330).

Almost surely, 2120013320 is an apocalyptic number.

120013320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120013320 is an abundant number, since it is smaller than the sum of its proper divisors (291463800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120013320 is a wasteful number, since it uses less digits than its factorization.

120013320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142894 (or 142890 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 120013320 is about 10955.0591052719. The cubic root of 120013320 is about 493.2606641602.

Adding to 120013320 its reverse (23310021), we get a palindrome (143323341).

The spelling of 120013320 in words is "one hundred twenty million, thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 142873 285746 428619 571492 714365 857238 1000111 1142984 1428730 1714476 2000222 2143095 2857460 3000333 3428952 4000444 4286190 5000555 5714920 6000666 8000888 8572380 10001110 12001332 15001665 17144760 20002220 24002664 30003330 40004440 60006660 120013320